Answer:
B. 21
Step-by-step explanation:
Answer:
105 mm^3
Step-by-step explanation:
The volume formula for a triangular prism is (height x base x length) / 2.
(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3
Answer:
x = 1
y= -2
Step-by-step explanation:
to solve this system of equation , simultaneously using the substitution method
we say let
7 x + y = 5 ............................................. equation 1
2x - y = 4 ................................................... equation 2
from equation 2
2x - y = 4 ................................................... equation 2
2x - 4 = y
y = 2x -4.......................................................... equation 3
put the value of the y = 2x -4 into equation 1
7 x + y = 5 ............................................. equation 1
7x + 2x - 4 = 5
9x-4 = 5
9x = 5 + 4
9x = 9
divide both sides by the coefficient of x which is 9
9x/9 = 9/9
x = 1
substitute the value of x = 1 into equation 3
y = 2x -4.......................................................... equation 3
y = 2(1) -4
y = 2 - 4
y = -2
to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.
2x - y = 4 ................................................... equation 2
2(1) -(-2) = 4
2 + 2 = 4
4=4................................... proved
2x+3 = 4x+7
-4 = 2x
x = -2
Answer:
b + r = 10 - - (1)
2r + 3b = 23 - - (2)
Step-by-step explanation:
Number of Blue pens in box A = b
Number of red pens in box A = r
BOX A :
Contains 10 pens that are either red or blue
b + r = 10
BOX B:
Contains 23 pens that are either red or blue ;
Red pens in box B = 2 tines the number of red pens in box A
Blue pens in box B = 3 times the number of blue pens in box A
2r + 3b = 23
